Question

What is the period of the sinusoid given by y=-2 sin ( 2pi/7 x)

Answer 1

the period is 7 because period = 2pi/b for asin(b(x-h))+k, so period is 2pi/(2pi/7) = 7

Answer 2

Explanation:

Alright, lets get started.

The given equation of sin function is :
`y=-2sin((2\pi )/(7)x )`

The standard form of sin equation is :
`asin(bx+c)`

Comparing with standard one, a is -2

b is
`(2\pi )/(7)`

The period =
`(2\pi)/(b)`

Plugging the value of b then,

Period =
`(2\pi)/((2\pi)/(7) ) =7`

As 2π will be cancelled, the period will be 7. : Answer

Hope it will help :)